Question 3) Probability, Distributions: Let X be a discrete random variable that takes values in {-2, -1, 0, 1, 2} with equal probability. Also, Y is another discrete random variable defined as Y = X4. (a) Construct the joint probability distribution table. (b) Are X and Y independent? Justify. (c) Find Corr(X, Y). (d) Based on your answer to part (b), can you explain the result in part (c)